Stage: 3 Challenge Level: 
| Three circles have a maximum of six intersections with each other. What is the maximum number of intersections that a hundred circles could have? |  |
Area. Sequences. Cubes. Circles. smartphone. Visualising. Creating expressions/formulae. Interactivities. Generalising. Mathematical reasoning & proof.
Published November 1997.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk